Yes, some women do have braxton hicks more than others, and some women may not even realize they're having them, when they truly are. Because we have HA and are so in tune to our bodies, we're going to notice them more then other women.
Stress can bring about BH's as well. Rest. Put your feet up. Take a warm (not hot!) bath, and try to relax. Your doctor knows you and your pregnancy. If he were concerned, he wouldn't gamble with his medical license for one pregnancy. He'd send you straight to L&D. If you really feel that you need to go in, then you need to go in. I feel that a mother knows her body best and needs to trust her TRUE instincts. The hard part is distinguishing between your fear/HA, and your instincts.